Search Results

• A Multi-Frequency Sampling Method for the Inverse Source Problems with Sparse Measurements

  Xiaodong Liu, Shixu Meng

  2023-10-26

  29509 2651 Pages:653-671

• Robust Convergence of Parareal Algorithms with Arbitrarily High-Order Fine Propagators

  Jiang Yang, Zhaoming Yuan, Zhi Zhou

  2023-04-25

  36052 3058 Pages:566-591

• A priori Error Analysis of a Discontinuous Galerkin Method for Cahn–Hilliard–Navier–Stokes Equations

  Chen Liu, Béatrice Rivière

  2020-04-30

  62588 5019 Pages:104-141

• A Theoretically Complete Surface Segmentation Method for CNC Subtractive Fabrication

  Hong-Yu Ma, Chun-Ming Yuan, Li-Yong Shen, Yi-Fei Feng

  2023-02-14

  33201 3149 Pages:325-344

• Relaxed Alternating Minimization Algorithm for Separable Convex Programming with Applications to Imaging

  Shuangshuang Wu, Yuchao Tang, Tieyong Zeng

  2022-11-07

  294666 3098 Pages:626-661

• Implicit Bias in Understanding Deep Learning for Solving PDEs Beyond Ritz-Galerkin Method

  Jihong Wang, Zhi-Qin John Xu, Jiwei Zhang, Yaoyu Zhang

  2022-05-30

  38329 3254 Pages:299-317

• A $C^1$-Conforming Gauss Collocation Method for Elliptic Equations and Superconvergence Analysis Over Rectangular Meshes

  Waixiang Cao, Lueling Jia, Zhimin Zhang

  2024-05-20

  20558 1800 Pages:320-349

• Enforcing Exact Boundary and Initial Conditions in the Deep Mixed Residual Method

  Liyao Lyu, Keke Wu, Rui Du, Jingrun Chen

  2021-11-29

  40749 3415 Pages:748-775

• Subspace Methods for Nonlinear Optimization

  Xin Liu, Zaiwen Wen, Ya-Xiang Yuan

  2021-11-29

  43195 3951 Pages:585-651

• A Derivative-Free Geometric Algorithm for Optimization on a Sphere

  Yannan Chen, Min Xi, Hongchao Zhang

  2020-12-31

  40484 3712 Pages:766-801

• Towards a Mathematical Understanding of Neural Network-Based Machine Learning: What We Know and What We Don't

  Weinan E, Chao Ma, Lei Wu, Stephan Wojtowytsch

  2020-12-31

  50255 4514 Pages:561-615

• On the Banach Spaces Associated with Multi-Layer ReLU Networks: Function Representation, Approximation Theory and Gradient Descent Dynamics

  Weinan E, Stephan Wojtowytsch

  2020-09-25

  43801 3819 Pages:387-440

• Optimality Conditions for Constrained Minimax Optimization

  Yu-Hong Dai, Liwei Zhang

  2020-07-01

  45061 4266 Pages:296-315

• Analysis of Coarse-Grained Lattice Models and Connections to Nonlocal Interactions

  Qiang Du, Xiantao Li, Liming Yuan

  2020-04-30

  59885 4607 Pages:155-185

• An Implicit Evaluation Method of Vector 2-Norms Arising from Sphere Constrained Quadratic Optimizations

  T. Sogabe, A. Suzuki, S.-L. Zhang

  2020-04-30

  59741 4476 Pages:142-154

• An Efficient Threshold Dynamics Method for Topology Optimization for Fluids

  Huangxin Chen, Haitao Leng, Dong Wang, Xiao-Ping Wang

  2022-03-03

  44131 4059 Pages:26-56

• A Neural Network Framework for High-Dimensional Dynamic Unbalanced Optimal Transport

  Wei Wan, Jiangong Pan, Yuejin Zhang, Chenglong Bao, Zuoqiang Shi

  2026-01-05

  194 48

• Interface Laplace Learning: Learnable Interface Term Helps Semi-Supervised Learning

  Tangjun Wang, Chenglong Bao, Zuoqiang Shi

  2025-12-01

  377 72

• Enhanced Expressive Power and Fast Training of Neural Networks by Random Projections

  Jian-Feng Cai, Dong Li, Jiaze Sun, Ke Wang

  2021-08-31

  41029 3473 Pages:532-550

• Theory of the Frequency Principle for General Deep Neural Networks

  Tao Luo, Zheng Ma, Zhi-Qin John Xu, Yaoyu Zhang

  2021-08-31

  44683 3662 Pages:484-507

• A General Non-Lipschitz Joint Regularized Model for Multi-Channel/Modality Image Reconstruction

  Yiming Gao, Chunlin Wu

  2021-08-31

  40530 3673 Pages:395-430

• Double-Domain Driven Unet for Selective Segmentation of Medical Image

  Zhi-Feng Pang, Lin Yang, Mingxiang Wu, Ziyu Niu, Raymond Chan, Xue-Cheng Tai

  2026-01-25

  519 77 Pages:178-206

• Superconvergence Points of Several Polynomial and Nonpolynomial Hermite Spectral Interpolations

  Min Wang, Zhimin Zhang

  2026-01-25

  503 81 Pages:146-177

• Revisiting Parallel Splitting Augmented Lagrangian Method: Tight Convergence and Ergodic Convergence Rate

  Fan Jiang, Bingyan Lu, Zhongming Wu

  2024-11-29

  12818 1171 Pages:884-913

• Thermodynamics of Freshwater Production via CuS-Infused Porous Membrane Solar Absorber in Seawater Desalination

  A. E. Makinde, O. D. Makinde, M. Maaza, T. Mokrani

  2025-12-08

  363 81 Pages:383-405

• Convergence Analysis on a Structure-Preserving Numerical Scheme for the Poisson-Nernst-Planck-Cahn-Hilliard System

  Yiran Qian, Cheng Wang, Shenggao Zhou

  2023-02-14

  33007 3022 Pages:345-380

• Optical Wave Turbulence: The Conformal Symmetry Transformations of Statistics of the Quantum Fluids of Light

  V. N. Grebenev

  2026-01-25

  736 74 Pages:62-85